$418 in 1961 is about $4,438 in 2025.

I searched and the average cost for a vaginal birth in 2025 is about $13,000.

EDIT: I looked up The Long Island College Hospital and it seems like it was replaced by NYU Langone Long Island (also a teaching hospital). The bottom line is that you might be near $0 out of pocket there, as it was in 1961.